Difference between revisions of "Breaking point"
From Encyclopedia of Mathematics
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| − | A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve | + | A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve $y=x/(1+e^{1/x})$ (see Fig.). The left and right derivatives are different at a breaking point. |
<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/b017630a.gif" /> | <img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/b017630a.gif" /> | ||
Figure: b017630a | Figure: b017630a | ||
Revision as of 21:50, 30 April 2014
angle point
A singular point of a plane curve with the property that two branches of the curve end in it in such a way that each has a (one-sided) tangent at the point different from the other. For example, the origin is a breaking point of the curve $y=x/(1+e^{1/x})$ (see Fig.). The left and right derivatives are different at a breaking point.
Figure: b017630a
How to Cite This Entry:
Breaking point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Breaking_point&oldid=15172
Breaking point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Breaking_point&oldid=15172
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article